Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid

El-Hakiem, M. A.; Mohammadein, A. A.; El-Kabeir, S. M. M.; Gorla, Rama Subba Reddy

doi:10.1016/s0735-1933(99)00008-1

Cited by 61 publications

(30 citation statements)

References 9 publications

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“…Vajravelu and Hadjinicolaou [18] carried out an analysis of the flow and heat transfer characteristics in an electrically conducting fluid near an isothermal stretching sheet. El-Hakim et al [19] presented an analysis of MHD free convection heat transfer of an electrically conducting micropolar fluid past a semi infinite plate including the effects of viscosity and joule heating. Chamkha [20] and AboEldahab [21] considered the problems related to hydromagnetic three-dimensional flow on a stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

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a b s t r a c tThis article presents a numerical solution for the steady two-dimensional mixed convection MHD flow of an electrically conducting viscous fluid over a vertical stretching sheet, in its own plane. The stretching velocity and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The temperature dependent fluid properties, namely, the fluid viscosity and the thermal conductivity are assumed to vary, respectively, as an inverse function of the temperature and a linear function of the temperature. A generalized similarity transformation is introduced to study the influence of temperature dependent fluid properties. The transformed boundary layer equations are solved numerically, using a finite difference scheme known as Keller Box method, for several sets of values of the physical parameters, namely, the stretching parameter, the temperature dependent viscosity parameter, the magnetic parameter, the mixed convection parameter, the temperature dependent thermal conductivity parameter and the Prandtl number. The numerical results thus obtained for the flow and heat transfer characteristics reveal many interesting behaviors. These behaviors warrant further study of the effects of the physical parameters on the flow and heat transfer characteristics. Here it may be noted that, in the case of the classical Navier-Stokes fluid flowing past a horizontal stretching sheet, McLeod and Rajagopal (1987) [42] showed that there exist an unique solution to the problem. This may not be true in the present case. Hence we would like to explore the non-uniqueness of the solution and present the findings in the subsequent paper.

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Section: Introductionmentioning

confidence: 99%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

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“…Chaudhary and Sharma [13] analysed combined heat and mass transfer by a laminar mixed convection flow from a vertical surface with induced magnetic field. El-Hakien et al [14] studied the effects of viscous and Joule heating on an MHD-free convection flow with variable plate temperature in a micropolar fluid. An MHD free-convection and mass transfer flow in a micropolar fluid over a stationary vertical plate with constant suction was studied by El-Amin [15].…”

Section: Introductionmentioning

confidence: 99%

Role of Slip Velocity in a Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability: A Numerical Study

Sharma¹,

Tailor

Goyal

2017

International Journal of Applied Mechanics and Engineering

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An analysis is presented to describe the hydromagnetic mixed convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with radiation and slip flow regime. A uniform magnetic field has been considered in the study which absorbs the micropolar fluid with a varying suction velocity and acts perpendicular to the porous surface of the above plate.The governing non-linear partial differential equations have been transformed into linear partial differential equations, which are solved numerically by applying the explicit finite difference method. The numerical results are presented graphically in the form of velocity, micro-rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters.

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“…Also, Khaled K. Jaber [17] studied the Hall and ion slip currents on MHD free-convective heat generating flow past a semi-infinite vertical flat plate. Joule heating effect on MHD fee-convective flow of a micropolar fluid is studied by Abd El-Hakiem et al [18].…”

Section: Introductionmentioning

confidence: 99%

Effect of Hall Currents and Variable Fluid Properties on MHD Flow past Stretching Vertical Plate by the Presence of Radiation

Jaber¹

2014

JAMP

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This paper investigates the effects of Hall currents and radiation on free-convective steady laminar boundary-layer flow past a semi-infinite vertical plate for large temperature differences. A uniform magnetic field is applied perpendicular to the plate. The fluid density is assumed to vary exponentially and the thermal conducting linearly with temperature. The fluid viscosity is assumed to vary as a reciprocal of a linear function of temperature. The usual Boussinesq approximation is neglected. The nonlinear boundary layer equations governing the problem under consideration are solved numerically by applying an efficient numerical technique based on the shooting method. The effects of the magnetic parameter Μ , the Hall parameter m, the density/temperature parameter n , the radiation parameter Ν , the thermal conductivity parameter S , the viscosity temperature θ r , and the temperature ratio parameter θ w are examined on the velocity and temperature distribution as well as the coefficient of heat flux and shearing stress at the plate.

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Joule heating effects on magnetohydrodynamic free convection flow of a micropolar fluid

Cited by 61 publications

References 9 publications

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Role of Slip Velocity in a Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability: A Numerical Study

Effect of Hall Currents and Variable Fluid Properties on MHD Flow past Stretching Vertical Plate by the Presence of Radiation

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